Opin vísindi

Logarithmic negativity in quantum Lifshitz theories

Logarithmic negativity in quantum Lifshitz theories

Title: Logarithmic negativity in quantum Lifshitz theories
Author: Angel Ramelli, Juan Fernando   orcid.org/0000-0002-0799-6416
Berthiere, C.
Giangreco Puletti, Valentina   orcid.org/0000-0003-1147-8643
Thorlacius, Larus   orcid.org/0000-0002-8180-9607
Date: 2020-09
Language: English
Scope: 11
University/Institute: Háskóli Íslands
University of Iceland
School: Verkfræði- og náttúruvísindasvið (HÍ)
School of Engineering and Natural Sciences (UI)
Department: Raunvísindastofnun (HÍ)
Science Institute (UI)
Series: Journal of High Energy Physics;2020(9)
ISSN: 1029-8479
DOI: 10.1007/JHEP09(2020)011
Subject: Nuclear and High Energy Physics; Field Theories in Higher Dimensions; Field Theories in Lower Dimensions; Conformal Field Theory; Sviðsfræði; Atómfræði
URI: https://hdl.handle.net/20.500.11815/2148

Show full item record


Angel-Ramelli, J., Berthiere, C., Puletti, V.G.M. et al. Logarithmic negativity in quantum Lifshitz theories. J. High Energ. Phys. 2020, 11 (2020). https://doi.org/10.1007/JHEP09(2020)011


We investigate quantum entanglement in a non-relativistic critical system by calculating the logarithmic negativity of a class of mixed states in the quantum Lifshitz model in one and two spatial dimensions. In 1+1 dimensions we employ a correlator approach to obtain analytic results for both open and periodic biharmonic chains. In 2+1 dimensions we use a replica method and consider spherical and toroidal spatial manifolds. In all cases, the universal finite part of the logarithmic negativity vanishes for mixed states defined on two disjoint components. For mixed states defined on adjacent components, we find a non-trivial logarithmic negativity reminiscent of two-dimensional conformal field theories. As a byproduct of our calculations, we obtain exact results for the odd entanglement entropy in 2+1 dimensions.


Publisher's version (útgefin grein)


This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

Files in this item

This item appears in the following Collection(s)